When do creative people get their best ideas? USA Today did a survey

of 966 inventors (who hold U.S. patents) and obtained the following information.
Time of Day When Best Ideas OccurTimeNumber of Inventors6 A.M.-12 noon
12 noon-6 P.M.
6 P.M.-12 midnight
12 midnight-6 A.M.299
127
329
211
(a) Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M. (Enter your answers to 3 decimal places.)6AM-12PM12PM-6PM6PM-12AM12AM-6AM
(b) Do the probabilities add up to 1? Why should they?

0 No, because they do not cover the entire sample space. ?
0 Yes, because they cover the entire sample space. ?
0 Yes, because they do not cover the entire sample space.?
0 No, because they cover the entire sample space.?

What is the sample space in this problem?
0 12AM-12PM ?
0 6AM-6PM ?

0 6AM-12AM ?
0 the entire day ?

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